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Finding the Fourth Proportional to 257,165.12, 354,830.56 and 155,207.20

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Solution

The fourth proportional to 257,165.12, 354,830.56 and 155,207.20 is: 214,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,165.12 : 354,830.56 = 155,207.20 : x
  2. Step 2: Convert to fraction form
    257,165.12/354,830.56 = 155,207.20/x
  3. Step 3: Cross multiply
    257,165.12x = 354,830.56 × 155,207.20
  4. Step 4: Simplify right side
    257,165.12x = 55,072,257,692.03
  5. Step 5: Solve for x
    x = 55,072,257,692.03/257,165.12
  6. Step 6: Final answer
    x = 214,151.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.